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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic
Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

OSM Camerata records CD with world-renowned cellist
2014-05-14

In 2010, South African cellist Heleen du Plessis, Executant lecturer for cello at the University of Otago, initiated the project “Cello for Africa”. The objective was to record a CD of new South African compositions for cello, reflecting the multi-cultural context of the country.

Du Plessis received an extensive research grant from the University of Otago in order to realise the project by commissioning, premièring and recording music. The aim was to facilitate a dialogue between Western and African musical traditions, as well as between the cello and indigenous African instruments.

Hans Huyssen, composer and cellist, has been closely involved in indigenous African music for a considerable time. In light of his extensive international experience, the SAMRO Foundation has granted Du Plessis' request to commission Huyssen to this task.

A world premiere concert preceded the recordings at the UFS’ Odeion School of Music (OSM) in March 2013, partially funded by a Humanities Research Grant as well as the OSM. This event provided a collaborative platform for musicians from different cultural backgrounds and several institutions to contribute towards a cultural and musical exchange. The funding enabled the project to successfully conclude in the recording of the CD, “Cello for Africa”. It was released by ODE records – the New Zealand label for classical music.

The OSM Camerata (OSMC) is the flagship ensemble of the OSM and was founded in 2012 with the main objective to kindle and forge the talents of exceptionally gifted students and pursue the highest artistic standards possible.

The OSMC participated in 2013 in the 13th International Conservatoire Festival hosted at the Rimsky Korsakov Conservatoire in St Petersburg, Russia. The OSMC received a standing ovation during their gala performance in the Glazonov Hall with a programme by South African composers Stefans Grové and Hendrik Hofmeyr.

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